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At which point does the line (y=10-2x) cut the (y)-axis?

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Answer and explanation

Correct answer: \((0,10)\)

At every point on the \(y\)-axis, \(x=0\). Substituting \(x=0\) in \(y=10-2x\) gives \(y=10\). Hence, the line cuts the \(y\)-axis at \((0,10)\). The point \((10,0)\) may relate to the \(x\)-intercept, but it is not on the \(y\)-axis. Exam tip: to find a \(y\)-intercept, always put \(x=0\).

Related tags

Y-InterceptLinear EquationsCoordinate GeometryGraph Of A LineClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

\((0,10)\)

Why is this the correct answer?

At every point on the \(y\)-axis, \(x=0\). Substituting \(x=0\) in \(y=10-2x\) gives \(y=10\). Hence, the line cuts the \(y\)-axis at \((0,10)\). The point \((10,0)\) may relate to the \(x\)-intercept, but it is not on the \(y\)-axis. Exam tip: to find a \(y\)-intercept, always put \(x=0\).

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.

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